How Can We Simplify the Hypergeometric Function for Easier Integration?

Thread starter Jane Dang
Start date Oct 23, 2012
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Function Hypergeometric Hypergeometric function

AI Thread Summary

The discussion focuses on simplifying the hypergeometric function f(z) = hypergeometric(1, n/2, (3+n)/2, 1/z) to facilitate the integration of f(z)/sqrt(1-z) from 1 to a specific point Y in the complex plane. The original poster seeks a method for achieving this simplification for manual integration. A response indicates that the query may not be suitable for the current forum, suggesting a more appropriate venue for calculus-related questions. The conversation highlights the challenges associated with integrating complex functions and the need for accessible methods. Overall, the thread emphasizes the complexity of the hypergeometric function in integration tasks.

Oct 23, 2012

Jane Dang

Now, i am getting the problem with this type of function. Giving z belongs to C(field of complex numbers), f(z)=hypergeometric(1,n/2,(3+n)/2,1/z).

Do you know how we can obtain a simple performance of f(z) which allows us to take the integral of f(z)/sqrt(1-z) from 1 to Y(an particular point Y in C) by hand?

Thanks a lot.

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Oct 23, 2012

SteamKing

Staff Emeritus

Science Advisor

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Jane Dang: you have posted in the wrong forum. Try calculus homework instead.

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